Entire functions sharing one polynomial with their derivatives

DOI10.1007/S12044-008-0002-ZzbMath1157.30023OpenAlexW2082440572MaRDI QIDQ2427078

Xiao-Min Li, Cunchen Gao

Publication date: 7 May 2008

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-008-0002-z

zbMATH Keywords

uniquenessentire functionshared valueorder of growth

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (13)

On the study of Brück conjecture and some non-linear complex differential equations ⋮ Brück conjecture with hyper-order \(\sigma_{\mathbf {2}}(f) < \mathbf {1}\) and linear differential polynomials ⋮ Normal families and growth of meromorphic functions with their \(k\)th derivatives ⋮ Hyper-order and order of meromorphic functions sharing functions ⋮ Unnamed Item ⋮ On the uniqueness problems of entire functions and their derivatives ⋮ Some results about functions that share functions with their derivative of higher order ⋮ The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture ⋮ Normality criteria of Lahiri's type and their applications ⋮ Uniqueness of entire functions sharing an entire function of smaller order with their derivatives ⋮ ON THE BRÜCK CONJECTURE ⋮ A Survey on a Conjecture of Rainer Brück ⋮ Further study on the Brück conjecture and some non-linear complex differential equations

Cites Work

• Entire functions that share one value with one or two of their derivatives
• On the characteristics of meromorphic functions that share three values CM
• The growth of solutions to second-order linear differential equations with meromorphic coefficients
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• On entire functions which share one value CM with their first derivative
• Solution of a differential equation and its applications
• When an entire function and its linear differential polynomial share two values
• Uniqueness theorems on entire functions and their derivatives
• The hamiltonian index of a graph
• Unnamed Item
• Unnamed Item

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